11130101120 has 128 divisors (see below), whose sum is σ = 28661575680. Its totient is φ = 4120934400.

The previous prime is 11130101119. The next prime is 11130101141. The reversal of 11130101120 is 2110103111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444125 + ... + 468515.

It is an arithmetic number, because the mean of its divisors is an integer number (223918560).

Almost surely, 2^11130101120 is an apocalyptic number.

11130101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11130101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14330787840).

11130101120 is an abundant number, since it is smaller than the sum of its proper divisors (17531474560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11130101120 is a wasteful number, since it uses less digits than its factorization.

11130101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24464 (or 24452 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 11130101120 its reverse (2110103111), we get a palindrome (13240204231).

The spelling of 11130101120 in words is "eleven billion, one hundred thirty million, one hundred one thousand, one hundred twenty".